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Finding the Fourth Proportional to 3,027.74, 4,541.10 and 975.74

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Solution

The fourth proportional to 3,027.74, 4,541.10 and 975.74 is: 1,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.74 : 4,541.10 = 975.74 : x
  2. Step 2: Convert to fraction form
    3,027.74/4,541.10 = 975.74/x
  3. Step 3: Cross multiply
    3,027.74x = 4,541.10 × 975.74
  4. Step 4: Simplify right side
    3,027.74x = 4,430,932.91
  5. Step 5: Solve for x
    x = 4,430,932.91/3,027.74
  6. Step 6: Final answer
    x = 1,463.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.